Matrix<T> class abstract

A simple Dart implementation of a matrix whose size is m x n. Thanks to its generic nature, you can decide to work with int, double, Complex or any other kind of numerical type.

By default, the cells of a matrix are initialized with all zeroes. You can access elements of the matrix either by calling itemAt or by using the call method (which makes the instance 'callable').

Implementers

Constructors

Matrix({required int rows, required int columns, required T defaultValue, required T identityOneValue, bool identity = false})
Creates a new N x M matrix where rows is N and columns is M. The matrix is filled with zeroes.
Matrix.fromData({required int rows, required int columns, required List<List<T>> data})
Creates a new N x M matrix where rows is N and columns is M. The matrix is filled with values from data.
Matrix.fromFlattenedData({required int rows, required int columns, required List<T> data})
Creates a new N x M matrix where rows is N and columns is M. The matrix is filled with values from data.

Properties

columnCount → int
The number of columns of the matrix.
final
flattenData ↔ List<T>
A flattened representation of the data of the matrix
latefinal
hashCode → int
The hash code for this object.
no setteroverride
isSquareMatrix → bool
Determines whether the matrix is square
no setter
rowCount → int
The number of rows of the matrix.
final
runtimeType → Type
A representation of the runtime type of the object.
no setterinherited

Methods

call(int row, int col) → T
Use this method to retrieve the element at a given position in the matrix. For example:
choleskyDecomposition() → List<Matrix<T>>
Uses the the Cholesky decomposition algorithm to factor the matrix into the product of a lower triangular matrix and its conjugate transpose.
determinant() → T
The determinant can only be computed if the matrix is square, meaning that it must have the same number of columns and rows.
itemAt(int row, int col) → T
Use this method to retrieve the element at a given position in the matrix. For example:
luDecomposition() → List<Matrix<T>>
Factors the matrix as the product of a lower triangular matrix L and an upper triangular matrix U.
noSuchMethod(Invocation invocation) → dynamic
Invoked when a nonexistent method or property is accessed.
inherited
toList() → List<T>
Returns a modifiable "flattened" view of the matrix as a List<T> object.
toListOfList() → List<List<T>>
Returns a modifiable view of the matrix as a List<List<T>> object.
toString() → String
A string representation of this object.
override
trace() → T
The trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the lower right).
transposedValue(int row, int col) → T
Returns the value at (row, col) position as if this matrix were transposed. For example, let's say we have this matrix object:

Operators

operator *(Matrix<T> other) → Matrix<T>
Returns the sum of two matrices.
operator +(Matrix<T> other) → Matrix<T>
Returns the sum of two matrices.
operator -(Matrix<T> other) → Matrix<T>
Returns the difference of two matrices.
operator /(Matrix<T> other) → Matrix<T>
Returns the division of two matrices.
operator ==(Object other) → bool
The equality operator.
override